105195456 has 112 divisors (see below), whose sum is σ = 327538080. Its totient is φ = 32993280.

The previous prime is 105195451. The next prime is 105195469. The reversal of 105195456 is 654591501.

105195456 is a `hidden beast` number, since 10 + 5 + 195 + 456 = 666.

It is a super-2 number, since 2×105195456² = 22132167926095872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 105195456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105195451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27586 + ... + 31166.

Almost surely, 2^105195456 is an apocalyptic number.

105195456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105195456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163769040).

105195456 is an abundant number, since it is smaller than the sum of its proper divisors (222342624).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105195456 is a wasteful number, since it uses less digits than its factorization.

105195456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3619 (or 3603 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The square root of 105195456 is about 10256.4836079428. The cubic root of 105195456 is about 472.0619472462.

The spelling of 105195456 in words is "one hundred five million, one hundred ninety-five thousand, four hundred fifty-six".